Mathematical Physics


A New Trigonometric Function Solution with Amplitude-Dependent Frequency for the Linear Harmonic Oscillator Equation

Authors: J. Akande, D. K. K. Adjaï, Y. J. F. Kpomahou, L. H. Koudahoun, M. D. Monsia

It is well known that amplitude-dependent frequency features only nonlinear dynamical systems. This paper shows that, however, within the framework of the theory of nonlinear differential equations introduced recently by the authors of this work, such a property may also characterize the linear harmonic oscillator equation. In doing so it has been found as another major result that the linear harmonic oscillator is nothing but the nonlocal transformation of equation of the free particle motion under constant forcing function.

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[v1] 2018-10-09 10:40:20

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